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- W838039281 abstract "We generalize the idea of (, )-fuzzy ordered semi-group and give the concept of (, )-fuzzy ordered -semigroup. We show that (, )-fuzzy left (right, two-sided) ideals, (, )-fuzzy (generalized) bi-ideals, (, )-fuzzy interior ideals and (, )-fuzzy (1, 2)-ideals need not to be coincide in an ordered -semigroup but on the other hand, we prove that all these (, )-fuzzy ideals coincide in a left regular class of an ordered -semigroup. Further we investigate some useful conditions for an ordered -semigroup to become a left regular ordered -semigroup and characterize a left regular ordered -semigroup in terms of (, )-fuzzy one-sided ideals. Finally we connect an ideal theory with an (, )-fuzzy ideal theory by using the notions of duo and ()-fuzzy duo." @default.
- W838039281 created "2016-06-24" @default.
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- W838039281 date "2013-12-25" @default.
- W838039281 modified "2023-09-26" @default.
- W838039281 title "(∈, ∈ ∨qk)-FUZZY IDEALS IN LEFT REGULAR ORDERED <TEX>$mathcal{LA}$</TEX>-SEMIGROUPS" @default.
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- W838039281 doi "https://doi.org/10.5831/hmj.2013.35.4.583" @default.
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